Three-nucleon calculations without the explicit use of two-body potentials

Abstract

Using as two-nucleon interaction input the 3S 1- 3D 1 and 1S 0 partial waves, the Faddeev equations are solved for the three-nucleon bound state. The 3S 1 3D 1 T-matrix is calculated from the Reid potential. Avoiding the usual potential fit, the 1S 0 T-matrix is directly continued off-shell and is constructed consistent with the 1S 0 phase shift of elastic two-nucleon scattering. The off-shell part of the 1S 0 T-matrix is parametrized and with this parametrization the dependence of the three-nucleon bound-state properties is studied. As a result it is found that the binding energy varies only between 6.2 MeV and 6.8 MeV, while the minimum in the charge form factor for electron scattering from 3He lies between 12.9 fm −2 and 18.7 fm −2. The larger (smaller) 3He binding energy is accompanied by a 3He charge form factor whose minimum is at larger (smaller) momentum transfers.